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19764728700 = 223521721118367
BaseRepresentation
bin10010011010000100…
…011101001101111100
31220000102211020200220
4102122010131031330
5310434232304300
613025122421340
71266534264513
oct223204351574
956012736626
1019764728700
118422746232
1239b7201850
131b2ca21252
14d56d6167a
157aa295da0
hex49a11d37c

19764728700 has 144 divisors (see below), whose sum is σ = 60840105984. Its totient is φ = 4936780800.

The previous prime is 19764728699. The next prime is 19764728743. The reversal of 19764728700 is 782746791.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066917 + ... + 1085283.

It is an arithmetic number, because the mean of its divisors is an integer number (422500736).

Almost surely, 219764728700 is an apocalyptic number.

19764728700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19764728700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30420052992).

19764728700 is an abundant number, since it is smaller than the sum of its proper divisors (41075377284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19764728700 is a wasteful number, since it uses less digits than its factorization.

19764728700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18605 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 19764728700 in words is "nineteen billion, seven hundred sixty-four million, seven hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 211 255 300 340 422 425 510 633 844 850 1020 1055 1266 1275 1700 2110 2532 2550 3165 3587 4220 5100 5275 6330 7174 10550 10761 12660 14348 15825 17935 18367 21100 21522 31650 35870 36734 43044 53805 55101 63300 71740 73468 89675 91835 107610 110202 179350 183670 215220 220404 269025 275505 312239 358700 367340 459175 538050 551010 624478 918350 936717 1076100 1102020 1248956 1377525 1561195 1836700 1873434 2755050 3122390 3746868 3875437 4683585 5510100 6244780 7750874 7805975 9367170 11626311 15501748 15611950 18734340 19377185 23252622 23417925 31223900 38754370 46505244 46835850 58131555 65882429 77508740 93671700 96885925 116263110 131764858 193771850 197647287 232526220 263529716 290657775 329412145 387543700 395294574 581315550 658824290 790589148 988236435 1162631100 1317648580 1647060725 1976472870 3294121450 3952945740 4941182175 6588242900 9882364350 19764728700